List the values from smallest to largest.
-$\left| - \frac { 2 } { 5 } \right| , - \left| \frac { 1 } { 2 } \right| , - \left| - \frac { 2 } { 5 } \right| , \left| - \frac { 1 } { 2 } \right| , - \frac { 7 } { 8 }$
A) $- \frac { 7 } { 8 } , - \left| - \frac { 2 } { 5 } \right| , - \left| \frac { 1 } { 2 } \right| , \left| - \frac { 2 } { 5 } \right| , \left| - \frac { 1 } { 2 } \right|$
B) $- \frac { 7 } { 8 } , - \left| \frac { 1 } { 2 } \right| , - \left| - \frac { 2 } { 5 } \right| , \left| - \frac { 1 } { 2 } \right| , \left| - \frac { 2 } { 5 } \right|$
C) $- \frac { 7 } { 8 } , - \left| \frac { 1 } { 2 } \right| , - \left| - \frac { 2 } { 5 } \right| , \left| - \frac { 2 } { 5 } \right| , \left| - \frac { 1 } { 2 } \right|$
D) $- \left| \frac { 1 } { 2 } \right| , - \frac { 7 } { 8 } , - \left| - \frac { 2 } { 5 } \right| , \left| - \frac { 2 } { 5 } \right| , \left| - \frac { 1 } { 2 } \right|$

Question

Quizplus · Accepted Answer

The absolute value of a number is its distance from 0 on the number line, regardless of direction, making it always non-negative. Thus, $|-\frac{2}{5}| = \frac{2}{5}$ and $|-\frac{1}{2}| = \frac{1}{2}$. The negative absolute values become $-\left|-\frac{2}{5}\right| = -\frac{2}{5}$ and $-\left|\frac{1}{2}\right| = -\frac{1}{2}$. Ordering these values from smallest to largest gives $-\frac{7}{8}, -\frac{1}{2}, -\frac{2}{5}, \frac{2}{5}, \frac{1}{2}$.

List the Values from Smallest to Largest A) B) C)